Vibrational modes of the stibine molecule

Some considerations on the description of vibrational excitations in terms of U(ν+1) unitary groups

“…The usual projection technique appearing in textbooks of group theory and used in [15][16][17][18][19] is based on the application of the projection operator [24] …”

“…Recently the U (m + 1) model has been applied to arsine [18] and stibine [19] molecules. Translated into our approach the Hamiltonian used was:Ĥ s ¼x s…”

“…The description of vibrational excitations of a set of equivalent oscillators in terms of u (m + 1) algebras was first developed by Michelot and Moret-Bailly [15], and later on was further analyzed to include the local subgroup K (m) in order to introduce the most important local interactions as a part of an expansion of the Hamiltonian in terms of Casimir operators [16]. This approach has been applied to several molecular systems, for instance tetrahedral [17] and pyramidal molecules [18,19], and is based on the methodology of algebraic techniques where a chain of groups provides the basis as well as the interactions of the Hamiltonian through the Casimir operator associated with different chains [5].…”

A theoretical-spectroscopy, ab initio-based study of the electronic ground state of 121SbH3

“…Ab initio studies [26,27] were performed to calculate the PES, the dipole moments, the equilibrium geometries, and effective rotation-vibration constants for 121 SbH 3 and 123 SbH 3 , and 123 SbD 3 . Pluchart et al [43] used their algebraic approach to describe vibrational modes of SbH 3 . Liu et al [44] reported an ab initio three-dimensional Sb-H stretching DMS of SbH 3 together with band intensities for stretching bands below 11000 cm −1 .…”

“…This situation is usually resolved by adjusting the PES empirically in fits to experimental data. A number of 'spectroscopic' PESs of stibine [35,37,41,43] have been obtained by least-squares fitting to the available experimental band centers.…”